Computation of the effective nonlinear mechanical response of lattice materials considering geometrical nonlinearities

DOI10.1007/s00466-016-1326-7zbMath1398.74024OpenAlexW2520545267WikidataQ113327489 ScholiaQ113327489MaRDI QIDQ1693728

Ibrahim Goda, Jean-François Ganghoffer, Khaled El Nady

Publication date: 31 January 2018

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-016-1326-7

zbMATH Keywords

geometrical nonlinearitymicromechanical modelmicropolar theorydiscrete homogenization2D and 3D textilesmeso-scale unit-cell model

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Micromechanics of solids (74M25) Effective constitutive equations in solid mechanics (74Q15) Composite and mixture properties (74E30) Thin bodies, structures (74K99) Polar materials (74A35) Micromechanical theories (74A60)

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Cites Work

• Unnamed Item
• Unnamed Item
• On natural strain measures of the non linear micropolar continuum
• A constitutive model for two-dimensional nonlinear elastic foams
• Elastic lattices: equilibrium, invariant laws and homogenization
• Non-homogeneous media and vibration theory
• A micropolar theory of finite deformation and finite rotation multiplicative elastoplasticity
• Material symmetries of micropolar continua equivalent to lattices
• Effective mechanical behavior of hyperelastic honeycombs and two-dimensional model foams at finite strain.
• Three-dimensional nonlinear open-cell foams with large deformations
• \(FE^2\) multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials
• Size dependent static and dynamic behavior of trabecular bone based on micromechanical models of the trabecular architecture
• Three-fold symmetry restrictions on two-dimensional micropolar materials
• Discrete homogenization in graphene sheet modeling
• The structural performance of the periodic truss
• The Nonlinear Elastic Behavior of Open-Cell Foams
• A new constitutive framework for arterial wall mechanics and a comparative study of material models

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